I dunno. I always wished my kids were hitters instead. Seemed like it would be a lot less nerve wrecking. Both were hitters through HS. I rarely felt anxious about it. I did pretty much all of the time when they pitched and they were two of the best pitchers in the area. Still, felt pretty darn anxious.
The only other position I ever heard anyone else express the terror that I sometimes feel was catchers parents. I can understand why. Runner on 3rd, game tied. Yeah, that would be nerve wrecking too I suppose.